A “combo lock” uses three numbers (without repetition between 0 and 49 and the n
ID: 3049820 • Letter: A
Question
A “combo lock” uses three numbers (without repetition between 0 and 49 and the numbers must be selected in the correct sequence. How many different “combinations” are possible? What is the probability that a theif will open the lock in a single try by guessing? A “combo lock” uses three numbers (without repetition between 0 and 49 and the numbers must be selected in the correct sequence. How many different “combinations” are possible? What is the probability that a theif will open the lock in a single try by guessing?Explanation / Answer
Since the numbers can be 0 to 49, they are 50 in numbers.
Since there are 3 numbers, there are 50 * 50 * 50 = 503 choices.
Total number of "combinations" = 125000.
Of these, only 1 is true.
The probability = 1 / 125000
= 0.000008.
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